Alexander V. Sobolev

925 total citations
40 papers, 504 citations indexed

About

Alexander V. Sobolev is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Alexander V. Sobolev has authored 40 papers receiving a total of 504 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Mathematical Physics, 22 papers in Computational Theory and Mathematics and 12 papers in Statistical and Nonlinear Physics. Recurrent topics in Alexander V. Sobolev's work include Spectral Theory in Mathematical Physics (37 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (11 papers). Alexander V. Sobolev is often cited by papers focused on Spectral Theory in Mathematical Physics (37 papers), Advanced Mathematical Modeling in Engineering (19 papers) and Numerical methods in inverse problems (11 papers). Alexander V. Sobolev collaborates with scholars based in United Kingdom, Russia and Germany. Alexander V. Sobolev's co-authors include Leonid Parnovski, Michael Solomyak, Wolfgang Spitzer, Hajo Leschke, Ари Лаптев, M. M. Skriganov, Eugene Shargorodsky, Alexander Balinsky, Vladimir Mikhailets and Sergeĭ Konyagin and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Inventiones mathematicae.

In The Last Decade

Alexander V. Sobolev

37 papers receiving 456 citations

Peers

Alexander V. Sobolev

CTM

AMPO

SNP

Shu Nakamura Japan

Fumio Hiroshima Japan

Radu Purice Romania

Simone Warzel Germany

Kalyan B. Sinha India

József Lőrinczi United Kingdom

P. Šťovı́ček Czechia

Volker Enß Germany

Marcel Griesemer Germany

Bruno Iochum France

Shu Nakamura Japan

Alexander V. Sobolev

475 ×1.2

191 ×1.0

CTM

96 ×0.6

AMPO

163 ×1.3

SNP

113 ×1.1

Citations per year, relative to Alexander V. Sobolev Alexander V. Sobolev (= 1×) peers Shu Nakamura

Countries citing papers authored by Alexander V. Sobolev

Since Specialization

Citations

This map shows the geographic impact of Alexander V. Sobolev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander V. Sobolev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander V. Sobolev more than expected).

Fields of papers citing papers by Alexander V. Sobolev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander V. Sobolev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander V. Sobolev. The network helps show where Alexander V. Sobolev may publish in the future.

Co-authorship network of co-authors of Alexander V. Sobolev

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander V. Sobolev. A scholar is included among the top collaborators of Alexander V. Sobolev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander V. Sobolev. Alexander V. Sobolev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Sobolev, Alexander V.. (2022). Eigenvalue asymptotics for the one-particle density matrix. Duke Mathematical Journal. 171(17). 10 indexed citations

Sobolev, Alexander V.. (2020). Eigenvalue estimates for the one-particle density matrix. arXiv (Cornell University). 2 indexed citations

Sobolev, Alexander V.. (2017). Quasi-classical asymptotics for functions of Wiener–Hopf operators: smooth versus non-smooth symbols. Geometric and Functional Analysis. 27(3). 676–725. 8 indexed citations

Leschke, Hajo, Alexander V. Sobolev, & Wolfgang Spitzer. (2016). Trace formulas for Wiener--Hopf operators with applications to entropies of free fermionic equilibrium states. arXiv (Cornell University). 16 indexed citations

Filonov, N. & Alexander V. Sobolev. (2015). On the spectrum of an "even" periodic Schrödinger operator with a rational magnetic flux. Journal of Spectral Theory. 5(2). 381–398. 2 indexed citations

Leschke, Hajo, Alexander V. Sobolev, & Wolfgang Spitzer. (2014). Scaling of Rényi Entanglement Entropies of the Free Fermi-Gas Ground State: A Rigorous Proof. Physical Review Letters. 112(16). 160403–160403. 53 indexed citations

Mityagin, Boris & Alexander V. Sobolev. (2011). A family of anisotropic integral operators and behavior of its maximal eigenvalue. Journal of Spectral Theory. 1(4). 443–460.

Sobolev, Alexander V.. (2010). Quasi-classical asymptotics for the pseudo-differential operators with discontinuous symbols: Widom's Hypothesis. arXiv (Cornell University). 2 indexed citations

Parnovski, Leonid & Alexander V. Sobolev. (2010). Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Inventiones mathematicae. 181(3). 467–540. 22 indexed citations

10.

Лаптев, Ари & Alexander V. Sobolev. (2008). Hardy inequalities for simply connected planar domains. UCL Discovery (University College London). 133–140. 8 indexed citations

11.

Sobolev, Alexander V.. (2006). Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one. Revista Matemática Iberoamericana. 22(1). 55–92. 5 indexed citations

12.

Balinsky, Alexander, Ари Лаптев, & Alexander V. Sobolev. (2004). Generalized Hardy Inequality for the Magnetic Dirichlet Forms. Journal of Statistical Physics. 116(1-4). 507–521. 21 indexed citations

13.

Parnovski, Leonid & Alexander V. Sobolev. (2001). On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Duke Mathematical Journal. 107(2). 30 indexed citations

14.

Parnovski, Leonid & Alexander V. Sobolev. (2000). On the Bethe-Sommerfeld conjecture. Journées Équations aux dérivées partielles. 1–13. 2 indexed citations

15.

Mikhailets, Vladimir & Alexander V. Sobolev. (1999). Common Eigenvalue Problem and Periodic Schrödinger Operators. Journal of Functional Analysis. 165(1). 150–172. 8 indexed citations

16.

Sobolev, Alexander V.. (1999). Absolute continuity of the periodic magnetic Schrödinger operator. Inventiones mathematicae. 137(1). 85–112. 32 indexed citations

17.

Sobolev, Alexander V.. (1998). Quasi-Classical Asymptotics for the Pauli Operator. Communications in Mathematical Physics. 194(1). 109–134. 4 indexed citations

18.

Sobolev, Alexander V.. (1996). On the Lieb-Thirring estimates for the Pauli operator. Duke Mathematical Journal. 82(3). 22 indexed citations

19.

Sobolev, Alexander V.. (1995). Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field. French digital mathematics library (Numdam). 62(4). 325–360. 4 indexed citations

20.

Sobolev, Alexander V.. (1994). The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Duke Mathematical Journal. 74(2). 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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